Abstract We consider operators—dl:;+ V in L2 (lR) with the sole hypothesis that V is limit
point at: l: 00 and that-4195;+ V in L2 ((O, has some absolutely continuous component 3+ in …

Soliton theory and the theory of Hankel (and Toeplitz) operators have stayed essentially
hermetic to each other. This paper is concerned with linking these two very active and …

Analysis of x-ray and neutron reflectivity is usually performed by modeling the density profile
of the sample and performing a least square fit to the measured (phaseless) reflectivity data …

We consider the multichannel inverse scattering problem in one dimension in the presence
of thresholds and bound states for a potential of finite support. Utilizing the Levin …

We are concerned with the inverse scattering problem (ISP) in acoustics within the
Marchenko inversion scheme. The quantum ISP is first discussed and applied in order to …

The one-dimensional coupled-channel Marchenko equation in the presence of thresholds is
derived. Various aspects of this equation are discussed and a numerical algorithm for its …

A method based on the solution of the one-dimensional single channel inverse scattering is
proposed for the design of quantum filters having specific reflection and transmission …

The Schrödinger operator [special characters omitted] is considered on the real axis. We
discuss the inverse spectral problem where discrete spectrum and the potential on the …

For the Schrödinger operator H=−∂ 2 x+ q (x) on L 2 (−∞,∞) with a real potential q (x) from
a broad class of non-decaying functions, we extend the well-known Marchenko inverse …

The inverse scattering problem for one-dimensional Schrödinger operators on the line is
considered when the potential is real valued and integrable and has a finite first moment. It …